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Finding the Third Proportional to 35,904 and 56,470

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Solution

The third proportional to 35,904 and 56,470 is: 88,816.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,904 : 56,470 = 56,470 : x
  2. Step 2: Convert to fraction form
    35,904/56,470 = 56,470/x
  3. Step 3: Cross multiply
    35,904x = 56,470 × 56,470
  4. Step 4: Simplify right side
    35,904x = 3,188,860,900
  5. Step 5: Solve for x
    x = 3,188,860,900/35,904
  6. Step 6: Final answer
    x = 88,816.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.